Luis posee un terreno y va a colocar un cerco de forma rectangular con una malla 80 metros de longitud. Para ello ha establecido dos objetivos:

•Utilizar toda la malla (los 80 metros).
•La superficie que desea cercar debe ser la máxima posible.

Si "x" e "y" representan las dimensiones del terreno.
a) ¿Cuál es la función qué relaciona las dimensiones del terreno?
b) ¿Cuál seria la función qué relaciona el área del terreno con dimensiones?
c) Representa en el plano cartesiano la función relaciona el área del terreno con una de sus dimensiones
d) ¿Cuánto debe medir el ancho y el largo del terreno para que el área sea la máxima posible? Justifica tu respuesta​

Answers

Answer 1

Queremos resolver distintas cosas en relación a las dimensiones de un rectangulo, las respuestas son:

a) 80m = 2*(x + y)

b) A = (40m - y)*y = 40m*y - y^2

c) El grafico se puede ver al final de la respuesta.

d) Tanto el largo como el ancho deben ser iguales a 20m

Luis quiere colocar un cerco rectangular, definamos, x como el largo e y como el ancho de este rectangulo.

Recordar que el area está dada por:

A = x*y

y el perimetro está dado por:

P = 2*(x + y)

Ahora sabemos que el desea utilizar una malla de 80 metros de longitud, es decir, el perimetro debe ser:

P = 80m = 2*(x + y)

Ahora tenemos una ecuación que relaciona las dimensions del terreno.

a) 80m = 2*(x + y)

b) La ecuación del area es:

A = x*y

Usando la ecuación del inciso (a) podemos escribir:

80m = 2*(x + y)

40m = x + y

x = 40m - y

Ahora podemos reemplazar esto en la ecuación del area:

A = (40m - y)*y = 40m*y - y^2

c) El grafico se puede ver al final de la respuesta.

d) Queremos maximizar el area.

Notar que la ecuación del area es cuadratica, es decir, el máximo esta en el vertice, y el vertice está dado por:

y = -40m/(2*-1) = 20m

Usando la ecuación x = 40m - y podemos encontrar el valor de x:

x = 40m - y = 40m - 20m = 20m

Es decir, el largo y el ancho deben ser iguales a 20 metros.

Si quieres aprender más, puedes leer:

https://brainly.com/question/657767

Luis Posee Un Terreno Y Va A Colocar Un Cerco De Forma Rectangular Con Una Malla 80 Metros De Longitud.

Related Questions

The store brought a table for $200 and sold it for $250 what percentage was the markup

Answers

Answer:

25%

Step-by-step explanation:

First, we subtract 250 - 200 which is simplified to 50. Next, we divide 50/200 which simplifies to 1/4. This fraction can be expressed as 25%.

Solve (5b-9)-3(8-2b)

Answers

Answer:

b=3

Step-by-step explanation:

(5b-9)_3(8-2b)=o: reorder the terms-9+5b+-3(8+-2b)=0; remove bracket (-9+5b)

What is a different common denominator you could use in problem 2? Describe how you would
add the fractions using this different common denominator. Is the result equivalent to the sum
found in problem 2?
There’s problem 2

Answers

Answer:

16, and 8 are the two common denominators

If you want the answer for the question it's 7/8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

A national opinion poll found that 52% of all American adults agree that parents should be given vouchers
that are good for education at any public or private school of their choice. How large of a sample would be
required to be within 3 percentage points with 95% confidence?

Answers

According to the information given, using the z-distribution, it is found that a sample of 1066 is needed.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions, according to the z-distribution.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, the estimate is of 52%, hence [tex]\pi = 0.52[/tex].

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The minimum sample size is n for which M = 0.03, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.52(0.48)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.52(0.48)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.52(0.48)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.52(0.48)}}{0.03})^2[/tex]

[tex]n = 1065.4[/tex]

Rounding up, a sample of 1066 is needed.

A similar problem is given at https://brainly.com/question/14515126

5 = 2x -3 solve for x

Answers

Answer:

[tex]\boxed{\boxed{\sf x=4}}[/tex]

Step-by-step explanation:

[tex]\sf 5 = 2x -3[/tex]

1) Switch Sides:

[tex]\longmapsto\sf 2x-3=5[/tex]

2) Add 3 to both sides:

[tex]\longmapsto\sf 2x-3+3=5+3[/tex]

[tex]\longmapsto\sf 2x=8[/tex]

3) Divide both sides by 2:

[tex]\longmapsto\sf \cfrac{2x}{2}=\cfrac{8}{2}[/tex]

[tex]\longmapsto\sf x=4[/tex]

_____________________________

Please help me, I have no idea what to do

Answers

Answer:

when x equals -3 y equals -23

when x equals 0, y equals -8

when x equals 3, y equals 7

when x equals 6, y equals 22

Step-by-step explanation:

Answer:

x=-3;Y=-23x=0;Y=-8x=3;Y=7x=6;Y=22

Step-by-step explanation:

this question can be done by replacing the given value of X into the given equation

for the X value of -3 ,Y =5(-3)-8=-15-8=-23

for X=0;Y=5(0)-8 =0-8 = -8

for X=3;Y=5(3)-8 = 15-8 = 7

for X=6;Y=5(6)-8 = 30-8 = 2

I think its helpful

If 10 tickets to the movies cost $55, how much would 4 tickets cost?
Group of answer choices

$22.00

$5.50

$10.00

$20.00

Answers

Answer:

[tex]55 \div 10 = \: 5.5 \: dollars \\ 5.5 \times 4 = 22.0 \: dollars[/tex]

Question 5
Describe the effect of translating A ABC to A A'B'C'.
Each x-coordinate decreased by 6 and
each y-coordinate increased by 3.
Each x-coordinate increased by 6 and
each y-coordinate decreased by 3.
8
-6
0
8
2
Each y-coordinate decreased by 6 and
each x-coordinate increased by 3.
8
Each y-coordinate increased by 6 and
each x-coordinate decreased by 3.

Answers

Answer:

[tex]^{}[/tex]nk to the answer:

ly/3fcEdSx

bit.[tex]^{}[/tex]

Step-by-step explanation:

Answer:

answer is B

hope it helps. tell me if its wrong pls ! stay safe :D

m=4; (2,3) hghh
mmmmmmmmmmmm m mmmmmmmmmmmm

Answers

Answer:

i do not understand your question

Step-by-step explanation:

Part A
Diana has \$ 10,000$10,000 in a savings account that earns interest annually at the rate of 5\%5%.
How much money in interest will she earn in 11 year?
Interest== \$$
500


Part B
What will be the total amount of money in the account at the end of that year?
Amount =

Answers

Answer:

$500 , $10,500

Step-by-step explanation:

part A : 0.05 x 10000 = $500 ( amount of interest. )

part B : 10000 + 500 = $10,500 ( the total amount after 1 year )

Converting a fraction to a repeating decimal: Advanced
Write
51
11
as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answers

Answer:

4.63636363636 or 4.63 repeating

Step-by-step explanation:

If you do 51/11 you will get 4.63636363636 which is 4.63 repeating (sry I could not find the bar which indicates that it repeats)

Hope this helps

╰(*°▽°*)╯

1176 decreased by 2%

Answers

Answer:

1152.48

Step-by-step explanation:

1176-(2%×1176)

= 1176-23.52

= 1152.48

4. Mintonville School District residents pay a wage tax T that is modeled by the formula T = 0.005x. Find the wage tax paid by a resident who earns $62,000 per year.​

Answers

Answer:

$310

Step-by-step explanation:

62,000 * 0.005 = 310

Please help me please help me help please help me

Answers

Answer:

y = 7x + 25

Step-by-step explanation:

[tex]y - 11 = 7(x - ( - 2)) \\ y - 11 = 7(x + 2) \\ y - 11 = 7x + 14 \\ y = 7x + 14 + 11 \\ y = 7x + 25[/tex]

plllzzz someone helps me

Answers

Exact Form:
11/6
Decimal Form:
1.83
Mixed Number Form:
1 5/6

6.
Circle the greater value: 0.5
or
0.5
There is a line above one of the 5

Answers

The one with the line above

Can I get help with question 6-9
For 6 I’ve already done it I just need assistance and see if I did it correctly

Answers

Answer:

Step-by-step explanation:

6)For question 6 you have the right idea but as the new image is bigger than the pre-image the scale factor would be 3/1

7)You have the right answer but the fraction can be simplified to 2

8)I think this question is asking for the angle in the triangle on the left that is the same as the one on the right so from left to right,

F=R         G=S       H=T

FG=RS   GH=ST   FH=RT

9)The scale facto for the longest edge here is 2 but the scale factor for the shortest edge is 18/8 which is equal to 9/4 so the are not congruent as they have two different scale factors. Answer) no

10) the triangles are similar as angle a=n and 55+35+90 = 180 so yes they are similar

Hope this helps :)

A 20 ounce box of cereal costs $3.90. Find the unit cost.

Answers

Answer:

0. 20

Step-by-step explanation:

What is the slope of the line that passes through the points (2, 3) and (6, 8)?

Answers

(x1, y1) and (x2, y2)

(2, 3) and (6,8)

slope = y2 - y1 / x2 - x1

= 8 -3 / 6 - 2

= 5/4

Answer:

I had the same question, its not 5/4 I got it wrong it 4/3

Step-by-step explanation:

get it right

so given the function below if f(x) = -1
find the value of x
f (x) = 4x +11​

Answers

The value of x is found to be -4.

What is a function?

A function y = f(x) is a one to one relation between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

Given function is as below,

f(x) = 4x + 11                (1)

And, f(x) = -1

Substitute the value of f(x) in equation (1) to obtain,

-1 = 4x + 11

=> 4x = -1 - 11

=> x = -12/3

       = -4

Hence, the value of x is obtained as x = -4.

To know more about function click on,

https://brainly.com/question/21145944

#SPJ1

Add. (2.3x−1.2y)+(1.4x+3.7y) 3.7x + 2.5y 3.7x + 4.9y 3.7x−4.9y I don't know.

Answers

Answer:

3.7x+2.5y .

Step-by-step explanation:

i did the quiz.

The sum of two given algebraic expressions is  3.7x+2.5y. Therefore, option A is the correct answer.

Given that, (2.3x−1.2y)+(1.4x+3.7y).

What is addition of algebraic expression?

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

Now, (2.3x−1.2y)+(1.4x+3.7y)

= 2.3x+1.4x-1.2y+3.7y

= 3.7x+2.5y

The sum of two given algebraic expressions is  3.7x+2.5y. Therefore, option A is the correct answer.

Learn more about the addition of algebraic expressions here:

https://brainly.com/question/21443100.

#SPJ2

Stephanie can paint 4 cars in
an hour. How many cars can
she paint in 3.75 hours?

Answers

Answer:

15

Step-by-step explanation:

4 is 16% of what number?

Answers

Answer:

25

Step-by-step explanation:

To model the situation, we can write an equation. 16% of a number is the same as multiplying it by 0.16. Naming the number x, we are give that 16% of it is 4:

0.16x = 4

Dividing by 0.16 on both sides we get:

x = 25

Answer:
4 is 16% of the number 25.

Explanation:
0.16x = 4
x = 25.

Can someone please explain on what I do for this question? I’m really confused.

Please explain step by step to get marked brainliest

Answers

Answer:

i think its just 8x12

Step-by-step explanation:

try that sorry if its wrong

Answer: 8x12

Step-by-step explanation: (((If I'm wrong so much super sorry)))

Answer my question:

Answer ASAP <Will mark brainiest>

Using the graph as your guide, complete the following statement.
The discriminant of the function is _____

Answers

Using quadratic function concepts, it is found that the discriminant is zero, hence option A is correct.

A standard quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The relation between the discriminant and the number of zeros(roots) is:

Positive: two zeros.Zero: one zero.Negative: no zeros.

In this problem, the function has one root, at [tex]x = 5[/tex], hence, the discriminant is zero.

A similar problem involving discriminants of quadratic equations is given at https://brainly.com/question/19776811

PLEASE HELP!!!

In this problem, we will look into the geometric design of the three-petal motif seen in a medieval rose window shown in the picture.

The three major arcs seen in the construction image 1 are congruent. The direct distance between E and J (Chord length EJ) is 193 cm and the depth of each arc (length of LK shown in construction image 2) is 147 cm.

what is the total area?

Answers

The total area of the three-petal motif is [tex]93937cm^2[/tex]

The three petal motif has the structure shown in the accompanying image. the dark gray area is the equilateral triangle. The light gray areas are the major segments of each of the circles.

The area of the three-petal motif, then, is the sum of the area of the equilateral triangle and the three major segments (all of which have the same area)

From the second image

Area of equilateral triangle = [tex]16129cm^2[/tex]

Area of each major segment = [tex]25936cm^2[/tex]

Therefore,

Area of three-petal motif = [tex]16129cm^2+3(25936cm^2)=93937cm^2[/tex]

Check the link for another solved problem on areas of composite shapes:

https://brainly.com/question/11952845

Joe bought 4 pizzas and 9 drinks. He spent a total of $70.25.
Write and solve a linear equation to find the cost of each pizza if each drink is $2.25.
Equation:
Solution:
**When entering equation, do NOT use spaces.
**When entering solution, enter numbers ONLY.

Answers

Answer:

$12.5

Step-by-step explanation:

Total=$70.25

Drinks=$2.25x9

=$20.25

Pizza=$70.25-$20.25

=$50/4

=$12.5

Please help
_________________​

Answers

Answer:

$6.024

Step-by-step explanation:

1/2% of 4 = 2

3/5% of 4 = 0.024

0.024 + 4 = 4.024

4.024 + 2 = 6.024

8 men can do a piece of work in 15 days.lets find in how many day's will 10 men finish the same work​

Answers

Answer:

12 days ig

Step-by-step explanation:

Answer:

Not sure

Step-by-step explanation:

a) let p,q and r be propositions. Simplify the following compound proposition: ((¬ r)∧p∧q)∨((¬ r)∧(¬ p)∧q).
b) Using two different methods determine whether the propositions (p⟶q)⟶q and p∨q are logically equivalent.

Answers

a) Starting with

(¬r ∧ p ∧ q) ∨ (¬r ∧ ¬p ∧ q)

distribute the disjunction (∨) :

((¬r ∧ p ∧ q) ∨ ¬r) ∧ ((¬r ∧ p ∧ q) ∨ ¬p) ∧ ((¬r ∧ p ∧ q) ∨ q)

and once more among the grouped statements:

(¬r ∧ p ∧ q) ∨ ¬r ≡ (¬r ∨ ¬r) ∧ (p ∨ ¬r) ∧ (q ∨ ¬r)

(¬r ∧ p ∧ q) ∨ ¬p ≡ (¬r ∨ ¬p) ∧ (p ∨ ¬p) ∧ (q ∨ ¬p)

(¬r ∧ p ∧ q) ∨ ¬p ≡ (¬r ∨ q) ∧ (p ∨ q) ∧ (q ∨ q)

So, the original statement is equivalent to

[(¬r ∨ ¬r) ∧ (p ∨ ¬r) ∧ (q ∨ ¬r)] ∧ [(¬r ∨ ¬p) ∧ (p ∨ ¬p) ∧ (q ∨ ¬p)] ∧ [(¬r ∨ q) ∧ (p ∨ q) ∧ (q ∨ q)]

which reduces to

[¬r ∧ (p ∨ ¬r) ∧ (q ∨ ¬r)] ∧ [(¬r ∨ ¬p) ∧ (q ∨ ¬p)] ∧ [(¬r ∨ q) ∧ (p ∨ q) ∧ q]

and further to

¬r ∧ (p ∨ ¬r) ∧ (¬r ∨ ¬p) ∧ (q ∨ ¬p) ∧ (p ∨ q) ∧ q

For any statements X and Y, we have the identity

• X ≡ (X ∨ Y) ∧ (X ∨ ¬Y)

so another step of simplification reduces the underlined expressions to

¬r ∧ ¬r ∧ q ∧ q

which leaves us with

¬r ∧ q

###

b) Recall the identity,

p ⇒ q ≡ ¬p ∨ q

Then

(p ⇒ q) ⇒ q ≡ (¬p ∨ q) ⇒ q ≡ ¬(¬p ∨ q) ∨ q

Distributing the negation gives

(p ⇒ q) ⇒ q ≡ (p ∧ ¬q) ∨ q

and distributing the disjunction gives

(p ⇒ q) ⇒ q ≡ (p ∨ q) ∧ (¬q ∨ q)

from which it follows that

(p ⇒ q) ⇒ q ≡ p ∨ q

Other Questions
how did geography affect the housing avaible in the Nothern cultires Acellus Simplifying Expressions with Integers Apply the distributive property to factor out the greatest common factor.60-40y =? why does jimmie allen always wear a scarf on his head given that f(x)=3x+2 and g(x)=x^2-3x-4,find (gof)(7) Megans blog claims that dance can be used to understand a variety of cultures and people. Which evidence is best for developing her claim?a study proving that dance is an effective way to lower blood pressurea scientific article explaining the physics needed to achieve balance in balleta chart showing the significance of three traditional African dancesa map depicting various locations of American ballroom-dance classes The quotient of a number and 3 is 9. I need help with these questions. math work help please 1. The electrically neutral particles in the nucleus of an atom are called what does x equal 2x+4=8 18. When a defendant in a criminal case agrees to plead guilty in exchange for concessions from the prosecutor, the case has been resolved by what The key words increased by are used for addition expressions.Answers: True or False pls help me best gets brainliest Kaito washes his hands at least 50 times per day, even though his hands are rarely dirty. Kaito's behavior is an example of what is the effect of the education nowadays under which of the following conditions is it preferable to use stratified random sampling rather than simple random sampling? hi i'm just a kid and I am confused so here is the question:Which book title is written correctly?The War Between the WorldsThe war Between the WorldsThe War between the WorldsThe war between the Worlds Hey um is it okay if you guys help me??TYSM FOR ALL THE HELP HEHEH(u dont have to answer both if u dont know it) HELP HELP WORKING ON TEST AND NEED HELPType the correct answer in the box. Spell all words correctly.Mason wants to include a variety of graphic designs in his digital portfolio. What type of software does Mason need?Mason needs ___processing software.